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%I #7 Oct 09 2012 04:35:08
%S 1,52,1452,32120,644020,12440064,238904904,4642163952,92199790224,
%T 1883079661824,39689578055808,865023253219584,19515249341231616,
%U 455924361142656000,11030149104146035200,276260563641659673600
%N Fourth diagonal of second-order Eulerian triangle A008517. Fourth column (m=3) of triangle A112007.
%F a(n)=A112007(n+3, 3), n>=0.
%F a(n)= (n+7)*a(n-1) + (n+1)*A002539(n+1), n>=1, a(0)=1.
%F Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start)
%F a(n) = sum((-1)^(n+k)*binomial(2*n+9,k)*stirling1(n-k+8,4-k), k=0..3)
%F (End)
%e 1452= a(2) = 9*52 + 3*328.
%Y Cf. A002539 (3rd diagonal of A008517; third column of A112007).
%Y Contribution from _Johannes W. Meijer_, Oct 16 2009: (Start)
%Y Equals fourth left hand column of A163936.
%Y (End)
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Sep 12 2005
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